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[Merged by Bors] - feat(Topology/UniformSpace): add UniformContinuous.iterate #14066

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@pitmonticone pitmonticone commented Jun 24, 2024

This PR adds the theorem UniformContinuous.iterate claiming that if a function T is uniformly continuous in a uniform space β, then its n-th iterate T^[n] is also uniformly continuous.

Co-authored-by: @D-Thomine


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This PR adds the theorem `uniformContinuous_ite`.

Co-Authored-By: D-Thomine <[email protected]>
@pitmonticone pitmonticone added awaiting-review t-topology Topological spaces, uniform spaces, metric spaces, filters labels Jun 24, 2024
@pitmonticone pitmonticone requested a review from sgouezel June 24, 2024 01:29
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github-actions bot commented Jun 24, 2024

PR summary 4f488578ca

Import changes

No significant changes to the import graph


Declarations diff

+ UniformContinuous.iterate

You can run this locally as follows
## summary with just the declaration names:
./scripts/no_lost_declarations.sh short <optional_commit>

## more verbose report:
./scripts/no_lost_declarations.sh <optional_commit>

Co-Authored-By: D-Thomine <[email protected]>
@pitmonticone pitmonticone marked this pull request as ready for review June 24, 2024 01:31
@pitmonticone pitmonticone requested a review from ADedecker June 24, 2024 01:39
@sgouezel sgouezel added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review labels Jun 24, 2024
@pitmonticone pitmonticone changed the title feat(Topology/UniformSpace): add uniformContinuous_ite feat(Topology/UniformSpace): add UniformContinuous.iterate Jun 24, 2024
@pitmonticone pitmonticone requested a review from sgouezel June 24, 2024 14:59
@pitmonticone pitmonticone added awaiting-review and removed awaiting-author A reviewer has asked the author a question or requested changes labels Jun 24, 2024
@sgouezel sgouezel added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review labels Jun 24, 2024
@pitmonticone pitmonticone added awaiting-review and removed awaiting-author A reviewer has asked the author a question or requested changes labels Jun 24, 2024
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Ok, I should have addressed all the review requests.

Thank you very much @sgouezel for your review!

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bors r+
Thanks!

@github-actions github-actions bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Jun 24, 2024
mathlib-bors bot pushed a commit that referenced this pull request Jun 24, 2024
This PR adds the theorem `UniformContinuous.iterate` claiming that if a function `T` is uniformly continuous in a uniform space `β`, then its `n`-th iterate `T^[n]` is also uniformly continuous.

Co-authored-by: @D-Thomine
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mathlib-bors bot commented Jun 24, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Topology/UniformSpace): add UniformContinuous.iterate [Merged by Bors] - feat(Topology/UniformSpace): add UniformContinuous.iterate Jun 24, 2024
@mathlib-bors mathlib-bors bot closed this Jun 24, 2024
@mathlib-bors mathlib-bors bot deleted the pitmonticone/uniformContinuous_ite branch June 24, 2024 18:25
kbuzzard pushed a commit that referenced this pull request Jun 26, 2024
This PR adds the theorem `UniformContinuous.iterate` claiming that if a function `T` is uniformly continuous in a uniform space `β`, then its `n`-th iterate `T^[n]` is also uniformly continuous.

Co-authored-by: @D-Thomine
dagurtomas pushed a commit that referenced this pull request Jul 2, 2024
This PR adds the theorem `UniformContinuous.iterate` claiming that if a function `T` is uniformly continuous in a uniform space `β`, then its `n`-th iterate `T^[n]` is also uniformly continuous.

Co-authored-by: @D-Thomine
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